A041548 Numerators of continued fraction convergents to sqrt(292).

17, 188, 393, 581, 2136, 17669, 55143, 72812, 200767, 2281249, 77763233, 857676812, 1793116857, 2650793669, 9745497864, 80614776581, 251589827607, 332204604188, 915999035983, 10408194000001, 354794595036017, 3913148739396188, 8181092073828393

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,4562498,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -17*x^18 +188*x^17 -393*x^16 +581*x^15 -2136*x^14 +17669*x^13 -55143*x^12 +72812*x^11 -200767*x^10 -2281249*x^9 -200767*x^8 -72812*x^7 -55143*x^6 -17669*x^5 -2136*x^4 -581*x^3 -393*x^2 -188*x -17) / ((x^10 -2136*x^5 -1)*(x^10 +2136*x^5 -1)). - Colin Barker, Nov 22 2013

Mathematica

Numerator[Convergents[Sqrt[292], 40]] (* Harvey P. Dale, Dec 20 2012 *)

Crossrefs

Cf. A041549, A040274.

Sequence in context: A022741 A225966 A057614 * A025931 A115234 A197370

Adjacent sequences: A041545 A041546 A041547 * A041549 A041550 A041551

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 22 2013

Status

approved